Finding the Fourth Proportional to 10,277.19, 14,182.52 and 5,561.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,277.19 : 14,182.52 = 5,561.47 : x
2. Step 2: Convert to fraction form
   10,277.19/14,182.52 = 5,561.47/x
3. Step 3: Cross multiply
   10,277.19x = 14,182.52 × 5,561.47
4. Step 4: Simplify right side
   10,277.19x = 78,875,720.20
5. Step 5: Solve for x
   x = 78,875,720.20/10,277.19
6. Step 6: Final answer
   x = 7,674.83